{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Employee retention - Knowing when your employees will quit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1 - Introduction\n",
    "\n",
    "Employees attrition can be very costly for companies as reports show that it costs employers [33% of an employee's annual salary to hire a replacement](https://www.benefitnews.com/news/avoidable-turnover-costing-employers-big) if that worker leaves. Moreover, it can jeopardize productivity, cause loss of knowledge and curb staff morale. \n",
    "\n",
    "Thus, providing solutions that could predict employee turnover could be greatly beneficial for companies. Furthermore, by using Survival Analysis and taking into account the time dimension, predicting when an employee will quit becomes possible."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 - Dataset\n",
    "\n",
    "### 2.1 - Description and Overview"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n",
      "The raw_dataset has the following shape: (14999, 10).\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>satisfaction_level</th>\n",
       "      <th>last_evaluation</th>\n",
       "      <th>number_projects</th>\n",
       "      <th>average_montly_hours</th>\n",
       "      <th>time_spend_company</th>\n",
       "      <th>work_accident</th>\n",
       "      <th>left</th>\n",
       "      <th>promotion_last_5years</th>\n",
       "      <th>department</th>\n",
       "      <th>salary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.38</td>\n",
       "      <td>0.53</td>\n",
       "      <td>2</td>\n",
       "      <td>157</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>sales</td>\n",
       "      <td>low</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.80</td>\n",
       "      <td>0.86</td>\n",
       "      <td>5</td>\n",
       "      <td>262</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>sales</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.11</td>\n",
       "      <td>0.88</td>\n",
       "      <td>7</td>\n",
       "      <td>272</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>sales</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   satisfaction_level  last_evaluation  number_projects  average_montly_hours  \\\n",
       "0                0.38             0.53                2                   157   \n",
       "1                0.80             0.86                5                   262   \n",
       "2                0.11             0.88                7                   272   \n",
       "\n",
       "   time_spend_company  work_accident  left  promotion_last_5years department  \\\n",
       "0                   3              0     1                      0      sales   \n",
       "1                   6              0     1                      0      sales   \n",
       "2                   4              0     1                      0      sales   \n",
       "\n",
       "   salary  \n",
       "0     low  \n",
       "1  medium  \n",
       "2  medium  "
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Importing modules\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from pysurvival.datasets import Dataset\n",
    "%pylab inline\n",
    "\n",
    "# Reading the dataset\n",
    "raw_dataset = Dataset('employee_attrition').load()\n",
    "print(\"The raw_dataset has the following shape: {}.\".format(raw_dataset.shape))\n",
    "raw_dataset.head(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 - From categorical to numerical\n",
    "There are several categorical features that need to be encoded into one-hot vectors:\n",
    "* department\n",
    "* salary "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating the time and event columns\n",
    "time_column = 'time_spend_company'\n",
    "event_column = 'left'\n",
    "\n",
    "# Creating one-hot vectors\n",
    "category_columns = ['department', 'salary']\n",
    "dataset = pd.get_dummies(raw_dataset, columns=category_columns, drop_first=True)\n",
    "dataset.head()\n",
    "\n",
    "# Creating the features\n",
    "features = np.setdiff1d(dataset.columns, [time_column, event_column] ).tolist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3 - Exploratory Data Analysis\n",
    "As this tutorial is mainly designed to provide an example of how to use Pysurvival, we will not perform a thorough exploratory data analysis but we greatly encourage the reader to do so by taking a look at the **predictive maintenance tutorial** that provides a very detailed study.\n",
    "\n",
    "Here, we will just check if the dataset contains Null values or duplicated rows, and have a look at feature correlations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1 - Null values and duplicates\n",
    "The first thing to do is checking if the `raw_dataset` contains Null values and has duplicated rows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The dataset contains 0 null values\n",
      "The dataset contains 3008 duplicates\n"
     ]
    }
   ],
   "source": [
    "# Checking for null values\n",
    "N_null = sum(dataset[features].isnull().sum())\n",
    "print(\"The dataset contains {} null values\".format(N_null)) #0 null values\n",
    "\n",
    "# Removing duplicates if there exist\n",
    "N_dupli = sum(dataset.duplicated(keep='first'))\n",
    "dataset = dataset.drop_duplicates(keep='first').reset_index(drop=True)\n",
    "print(\"The dataset contains {} duplicates\".format(N_dupli))\n",
    "\n",
    "# Number of samples in the dataset\n",
    "N = dataset.shape[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As it turns out the dataset doesn't have any Null values but had 3,008 duplicated rows."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 - Correlations\n",
    "Let's compute and visualize the correlation between the features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pysurvival.utils.display import correlation_matrix\n",
    "correlation_matrix(dataset[features], figure_size=(20,10), text_fontsize=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Based on the correlations chart, we should remove the feature `salary_low`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "del dataset['salary_low']\n",
    "features = np.setdiff1d( dataset.columns, [time_column, event_column] ).tolist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4 - Modeling\n",
    "\n",
    "### 4.1 - Building the model\n",
    "As there are ~15,000 rows, we will first downsample the dataset to speed up computations, in case the computer that you are using cannot handle that size.\n",
    "Then, so as to perform cross-validation later on and assess the performance of the model, we will split the dataset into training and testing sets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Downsampling the dataset to speed up computations\n",
    "indexes_choices = np.random.choice(N, int(N*0.3), replace=False).tolist()\n",
    "\n",
    "# Building training and testing sets #\n",
    "from sklearn.model_selection import train_test_split\n",
    "index_train, index_test = train_test_split( indexes_choices, test_size = 0.4)\n",
    "data_train = dataset.loc[index_train].reset_index( drop = True )\n",
    "data_test  = dataset.loc[index_test].reset_index( drop = True )\n",
    "\n",
    "# Creating the X, T and E inputs\n",
    "X_train, X_test = data_train[features], data_test[features]\n",
    "T_train, T_test = data_train[time_column], data_test[time_column]\n",
    "E_train, E_test = data_train[event_column], data_test[event_column]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's now fit a Random Survival Forest model to the training set. \n",
    "\n",
    "*Note: The choice of the model and hyperparameters was obtained using grid-search selection, not displayed in this tutorial.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RandomSurvivalForestModel"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from pysurvival.models.survival_forest import RandomSurvivalForestModel\n",
    "\n",
    "# Fitting the model\n",
    "rsf = RandomSurvivalForestModel(num_trees=100) \n",
    "rsf.fit(X_train, T_train, E_train, max_features='log2', \n",
    "        max_depth=2, min_node_size=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5 - Cross Validation\n",
    "In order to assess the model performance, we previously split the original dataset into training and testing sets, so that we can now compute its performance metrics on the testing set:\n",
    "\n",
    "### 5.1 - C-index\n",
    "The C-index represents the global assessment of the model discrimination power: this is the model’s ability to correctly provide a reliable ranking of the survival times based on the individual risk scores. In general, when the C-index is close to 1, the model has an almost perfect discriminatory power; but if it is close to 0.5, it has no ability to discriminate between low and high risk subjects."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "C-index: 0.80\n"
     ]
    }
   ],
   "source": [
    "from pysurvival.utils.metrics import concordance_index\n",
    "c_index = concordance_index(rsf, X_test, T_test, E_test)\n",
    "print('C-index: {:.2f}'.format(c_index)) #0.80"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2 - Brier Score\n",
    "The Brier score measures the average discrepancies between the status and the estimated probabilities at a given time. Thus, the lower the score (usually below 0.25), the better the predictive performance. To assess the overall error measure across multiple time points, the Integrated Brier Score (IBS) is usually computed as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nna00hbUtl7YqVdysnPXwOvA25YIljS3Kc3E0XeccxFIVzr0iok/ledvFlP0dgeksWMm1KQ+TRwB3rJjCXNpXH3Kxm8pjVtqA/Py3WPm5kaPpmOfxReBVYP2IWLuJ86n3Lb72pA9WpF7L6yBK3UwxHWwU8IWIOKapdSJi04ionJZ4Dfn3/SdRcV29iFibciGQalxOnhZ3TlHko/FxK6tgvkMeSWpLgYUHyJ9U7xQRwxvtezg5FD9PHvHpCD8jn9d2dVOjZBGxYkS0dXSxNVcXX39cnAdZOtZSwIXF3ava6VilC37/NJq4PmSjtnryKOJhjfq1EnDRIvbj2uLrkcVtDvnSK41dUnz9bUSs3kR/l46I7Rq3t6D05vWs4utdjZZtQq76OYVcYbQapamtbXmdd5pitPSk4u7IivZtIl/rsn8T2yxGefrv/HN9i+qv9wEDImLdJg630M9FSmmXlFK04bZLW4/Rhr68CPybPBJ3cqPF55MvKXRd40quEbFhRGzYaF8fkIszLc2C10E8pTjG7Smlxpe4gPI531VfNqKjnsfiZ//r4u5Fjf6P7E/+2/wMOXBSsWyt4nlZCkndhiOIUvd0GPkN7VUR8TXyFLJpwBrka8RtQi42UZoS9lNysYoDgP8U195aATiI/Ibvs9UcNKX0TEScRH6j8HhE/JVc3nxl8mU03qMY5StG5B4BhhXVGp+nuHZiURyjqf2niDgKuAO4sdj/c5Qrvr4PHJkWvMRFu0gpXR0RW5HfUL9YPE+vkguorE0e0buG8gWj2+OY1xdvsA4CxkTEreRg/bnimDc2rui6CMf6d0T8gHwu2rPFsV4jTz/eiTzacXSx7uvFz+0I4ImI+Dt5+uV+5NdMU4Vzqu3HA8Wo9oHkir5/a6rgTkrprog4E/gx8EJE/IM83W4Z8mVePkn+sGCfKg99Dzn0rkK+nMOkimV3kd/ADyRXCK52Cu9dwLfIIfZm8mt0Wkqp8WU8OkPlZS6CPCV7X/LfhZeAH1asuzr5tfzLiLif/OZ+RrHNPuRp3uOACxod42by35G9i+WVxpLPezwkImaTL6ORyGGqcZXmTlOEtjMbNa9YXNqj5JsppckV908CHiRfMmh34FnytVV3Jf8tO7uJQz1bOmSj9u+QZ0WcHhGbk4sfbUS+/M5bLBhCS/Yi/838azPLO9vPyDMQhgOPFOfurkX+PZ5Orv7c+G/z78m/p7vS8AOKAcDFFesNKL5eFRGl370LU0rPVWyzE3nmAZRH+ter/DmmlI5eyMcmqVJKyZs3bx18I79JSlWuO6RY/9pW1luW/MbjMXLFxY/Ib57/Tr7w8tKN1l+O/A9+IvmN4HPk6yN+vKnjkUd5EjCkiWNvT36j+Bb53K1J5MqYwxutty75YulTyG/ME3B0sWyX4v55Tex/A/Kn7q+Tq1i+DvwfsEET655X7GeXhX0um9ju05Qvyj6LXHTlUfIlGjZs4mc7soV9Nfs8VqzTh/yGtJ78Rmt68XM9mXwOXlOvp2aPWcXj26/4eU0lV2Z9jTzldLdG6y0B/A8woXgexpFH3/o11YeWfhZN9OG7pd8L4IBW1t2JfJmSSUU/3iZPu/sZUNfGx/5YcczLGrUvRv49SsCJbXktAaeTw8HMYp3xFctG0szvPjmMz/+dqKLvpef3vGbaG98+JI+E/gBYodE2y5IvAXMNuarrZPJI7lRyMDoTWKaJPixOLnj1SDN93Jocmt+l/Dvf6uuhI2+U/9a0dFvg95M8vfoa8t+fWeTA+3NgxWaO0+zfefKHTJcW+5hV7PNqYI1m1l+e/Df91lo+d030aynyhwYvFK/3t4E/Axs3s/7Ipl4DFb9PLd0ab3N0a9vU+vnx5q2n3CKlhalzIEmSeqOIOAv4EbBlavp6l1pEEfFV8jnmw1JKHTWlXpKaZECUJElVi4glydNJn0wpfabW/elpivNCXwQeTCkNb219SWpvFqmRJElVSynNIJ+bWh8RS9e6Pz3QEOAK4Js17oekXsoRREmSJEkS4AiiJEmSJKnQ5S5zMWDAgDRkyJBad0OSJEmSauKxxx6bnFIaWItjd7mAOGTIEOrr62vdDUmSJEmqiYio2fVjnWIqSZIkSQIMiJIkSZKkggFRkiRJkgQYECVJkiRJBQOiJEmSJAkwIEqSJEmSCgZESZIkSRJQZUCMiH0iYmxEjIuIM5tYfnpEPBMRT0bEXRExuGLZ3Ih4oriNaM/OS5IkSZLaT7/WVoiIvsBlwJ7ABGB0RIxIKT1TsdrjQF1KaXpEnAhcBBxcLPsopbR5O/dbkiRJktTOWg2IwDbAuJTSSwARcQOwPzA/IKaU7qlY/2Hg8IXu0dixsMsuDdsOOghOOgmmT4f99ltwm6OPzrfJk2H48AWXn3giHHwwvPYaHHHEgsu/8Q34zGfysU84YcHl3/0u7LEHPPEEnHbagst/9CPYYQd48EH4zncWXP7zn8Pmm8Odd8IPfrDg8t/8BjbYAP72N/jpTxdcft11sOaacOONcPnlCy6/6SYYMACuvTbfGvvHP2CppeBXv4I//WnB5SNH5q8XXwy33dZwWf/+8M9/5u+//324666Gy1deGW6+OX9/1lnw0EMNl6+xBvzf/+XvTzstP4eV1l8frrgif3/88fD88w2Xb755fv4ADj8cJkxouHz77eHHP87fH3AATJnScPnuu8M55+Tv990XPvqo4fJPfxq++c38fePXHfja87WXv/e1t+ByX3v5e197Cy73tedrD3zt+dpruNzX3qK99jpZNVNMBwGvVdyfULQ158vAPyvuLxkR9RHxcER8rqkNIuL4Yp362bNnV9ElSZIkSVJ7i5RSyytEDAf2SSkdW9w/Atg2pXRKE+seDpwCfDKlNLNoG5RSmhgRHwfuBnZPKb3Y3PHq6upSfX39Qj8gSZIkSeoo1w8dOv/7TU46iU+cfDIAbz76KHd96Uvzl+1+zTWsus02C3WMiHgspVTXSj9GAp8s7t572JgxuyzUwRqpZorpRGDNivtrFG0NRMQewNlUhEOAlNLE4utLETES2AJoNiBKkiRJ6t5mTpvGs9dey8SRI/mwmDK69BprMGiXXdjo6KNZYoUV2rS/t594gjcefJC3//MfPpw0iRlTpjB35kyWXHllVt5kE9Y58EBW32mnBbZ76S9/4eHvfrfFfffr35+DetgA1fVDh14LHFXcfeWwMWOGVLttNQFxNLBeRKxNDoaHAIdVrhARWwC/IY80vlXRviIwPaU0MyIGADuSC9hIkiRJ6oGmvfAC9xx3HB+9/XaD9ndfeIF3X3iBl2+9lV1/+1tWWG+9qvf56Lnn8u64cQu0T3/jDaa/8Qav3XknGxxxBFuducAFFzrNMmuuyRalcx2L+x3scqB0QulrLa3YFq0GxJTSnIg4Bbgd6AtcnVIaExEXAPUppRHA/wDLAH+OCIBXU0qfBTYCfhMR88jnO17YqPqpJEmSpB5izowZjDr11PnhcLHllmPdAw6ACMbddBOz33uPj95+m1GnncZ+t9xC3yWWaNP+Vxo6lFXq6lhs2WWZ+vTTTCwV3wHGXncda+y6K6tuu22z2w7ed98F2vsstlib+tCcpVdbjY0qpph2tMPGjLmxI/ZbzQgiKaV/AP9o1Pa9iu/3aGa7B4FNF6WDkiRJkrqH8bfdxvuvvDL//o4XXcTqw4YBsMrWW3PviScC8P748Yy/7TbWOeCAqva7+rBhbH/hhay00UYN2p/61a946rLL5t+feN99zQbE5dddt0MDXEvnID552WU8/atfzV924COP8ORll/Hqv/7FrPfeY4UNNmCzr36Vj22/PTOnTePkQYMGXz906JvA8sDTwHmHjRnToPxsU+cgXj906NHANY26Nvj6oUMrC8+cf9iYMec19ziqqWIqSZIkSa2aUHGJjMWWWYbVKs4LXH2nnei39NLz7792551V73eLb35zgXAIsOaeeza4P2/WrGb3MXHkSG7ecUf+uNlm3LLzztxzwgm8evvtVfehPd11zDGM/f3v+eitt5g7YwZT/vvf+f25/ZBD2GH55QcAqwBLAFsBf71+6NBdO6NvBkRJkiRJ7eKd556b//3SgwZRnH4GQPTpwzKDylfLe2fs2EU+3nsvvdTg/sqf+ESz6856911mTptGmjOHGVOm8Pr993P/6afz4Fln0dqVHdrbO88+yzrDh7PBkUfSp1+e1JnmzuX+00/nw0mTePDddycDvwDmFJv0Ac6oYtejgW8BlVV33inaSrd/t7SDqqaYSpIkSVJrZk6bNv/7xZZZZoHllW0z33lnkY41/Y03+M9F5fqXy6+7LmvtvfcC6/VZbDFW3WYblvv4x1l8ueV4d9w4XrvzTtLcuQCMHzGCgZtvznoHH7xI/WmLTU85hU1OOAGAGZMn88o/ymfzfeKrX+Ww449/5ZcTJpx6/dChHwMOKha1es2Mw8aMGQOMuX7o0E2A0mUy3jtszJiLq+2bAVGSJElS+2tqVK6dRureee457j35ZKa/8QYAS622Grtcfjl9F1+8wXqr7bQTXxg1isWXXbZB+6RRoxh54onz+/PizTd3akAc8ulPz/9+6YpRVYAhn/pU5d0XKr5fsUM7VXCKqSRJkqR2UXl9w9kffLDA8tkfflhed8WFyzsT7rmHO444Yn44XH6dddjzuutYevXVF1i3/8CBC4RDyEVvlhsyZP79dxtNVe1oS62yyvzvG1dR7V+xjPIUU4CgExgQJUmSJLWLFTfccP73H0ycSJo3b/79NG8eH0yYUF53gw3avP9nr7mGUV/7GnOmTwdgtR13ZM8//IGlV1ttEXrdScmrQkuX1iidk1grBkRJkiRJ7WKN3Xab//2cDz9k0qhR8+9PGjVqfrADWGP33Rtse/3QofNvT1ZcugJg3uzZPPK97/H4xRfPD53rH344n7z88iZHCEvqf/xj3n/11QXaJ40axXvjx8+/v8JChNUubnbF90u1ZUPPQZQkSZLULoZ85jM8e80186+F+OC3v826Bx4IwLibbpq/3rKDBzc4D681o047jYkjR86/v+KGG7L0xz7G2N//vsF6S33sYwzed9/591/+6195/g9/YJWttmLAZpvRt3//XKTmjjsanA+5/qGHtulxdgMTKr4feP3QodcCY4AEXHfYmDFvNrehAVGSJElSu+i35JIMu/RS7j72WGZMnszs99/n2auvbrDOkgMGMOzSS+m35JJV73fa8883uP/Oc881uKRGySpbb90gIAKQEm/V1/NWff0C6wNsfOyxbQqr3cQtwDlA3+L+URXLRgIGREmSJEkdb4X11uNTf/0rz15zDRPvuYcPJk0CYJnVV2fQrruy0Ze+1KCYTUfa7cormXjvvbz58MNMf+MNZkydCinRf5VVGLDFFqx30EEM3GKLTulLZzpszJinrh869ADgLGBT2jDNNDr7opCtqaurS/XNpHtJkiRJ6uki4rGUUl3ra7Y/i9RIkiRJkgADoiRJkiSpYECUJEmSJAEGREmSJElSwYAoSZIkSQIMiJIkSZKkggFRkiRJkgQYECVJkiRJBQOiJEmSJAkwIEqSJEmSCgZESZIkSRJgQJQkSZIkFQyIkiRJkiTAgChJkiRJKhgQJUmSJEmAAVGSJEmSVDAgSpIkSZIAA6IkSZIkqWBAlCRJkiQBBkRJkiRJUsGAKEmSJEkCDIiSJEmSpIIBUZIkSZIEGBAlSZIkSQUDoiRJkiQJMCBKkiRJkgoGREmSJEkSYECUJEmSJBUMiJIkSZIkwIAoSZIkSSpUFRAjYp+IGBsR4yLizCaWnx4Rz0TEkxFxV0QMrlh2VES8UNyOas/OS5IkSZLaT6sBMSL6ApcB+wIbA4dGxMaNVnscqEspfQK4Cbio2HYl4FxgW2Ab4NyIWLH9ui9JkiRJai/VjCBuA4xLKb2UUpoF3ADsX7lCSumelNL04u7DwBrF93sDd6SUpqaU3gHuAPZpn65LkiRJktpTNQFxEPBaxf0JRVtzvgz8cyG3lSRJkiTVSL/23FlEHA7UAZ9s43bHA8cDrLXWWu3ZJUmSJElSlaoZQZwIrFlxf42irYGI2AM4G/hsSmlmW7ZNKV2RUqpLKdUNHDiw2r5LkiRJktpRNQFxNLAbSjwOAAAgAElEQVReRKwdEYsDhwAjKleIiC2A35DD4VsVi24H9oqIFYviNHsVbZIkSZKkLqbVKaYppTkRcQo52PUFrk4pjYmIC4D6lNII4H+AZYA/RwTAqymlz6aUpkbE98khE+CClNLUDnkkkiRJkqRFEimlWvehgbq6ulRfX1/rbkiSJElSTUTEYymlulocu5opppIkSZKkXsCAKEmSJEkCDIiSJEmSpIIBUZIkSZIEGBAlSZIkSQUDoiRJkiQJMCBKkiRJkgoGREmSJEkSYECUJEmSJBX61boDkiR1FbNnw09+AiNGQL9+sPzysNxybfu65JIQUetHIknSwjEgSpIEvPUWHHQQ3Hvvou2nX7+2h8rKr6XvF1usfR6XJEltYUCUJPV6jz4KBxwAEyYs+r7mzIGpU/NtUSy55MKHy9LXZZeFPp5MIklqAwOiJKlXu+oqOOkkmDUr34+A886D3XaDd9+F997Lt9L3rX2dObN9+jVjRr69+eai7WfZZRcuXFZ+XWopp81KUm9hQJQk9UqzZsGpp8Kvf11uW2EFuP562Hffhd/vzJkNA2NbwmXl13nzFv0xArz/fr5NnLjw++jbd+HD5fLLwxJLQEp5Xym1/fuF3a499lHLYze1j9LPo1+/BW+LLdZ0e2s3w7+kSgZESVKvM2kSDB8ODz1Ubtt0U/jLX2CddRZt30ssAQMH5tvCSgmmT1/4cFkKpu+/v2iPpWTuXHjnnXxTz9Nc4GyvENpVt+nb13AsNcWAKEnqVR54IIfDN94otx18cJ5quvTStetXpYjcl6WXhtVWW/j9zJ0LH3ywcOGysm3GjPZ7bOp65s7Nt/aaHt2dLLccbLcdDBsGO+8M22yTz/+VejMDoiSpV0gJLr88TyudMye39ekDF10Ep5/eM0cS+vbNUzyXX37R9jNrVvXTZRu3vftuvnwIlJ/jiEX7vrO360rHhjz9eM6c8m327Ib3q7mVtpk7l17tvffg3//ON4DFF88hceed822HHfJ5vFJvEqk0ob2LqKurS/X19bXuhiSpB5kxA048Ea69tty28spw442w++4165ZUcynlkNiWULmwYbSjt2nrdtWE4z59YIstyoFxp51gwICO/7lIEfFYSqmuJsc2IEqSerJXX82XsKj817LllnDLLTB4cO36Jam2UoJXXoFRo+C++/Lt+edb327jjXNYLE1LXWONju+reh8DYgUDoiSpvdxzDxx0EEyeXG478shcubR//9r1S1LX9MYbcP/95cD45JPl6rHNWXvtcljceWdYd92eOWVdncuAWMGAKElaVCnBJZfAGWeUp5H165fbTj7ZN2+SqjNtWi5sdd99eaRx9OjyOczNWXXVclgcNixXSO7Tp3P6q57DgFjBgChJWhTTp8Oxx8If/1huW3VV+POf85s1SVpY06fDww+Xp6U+9BB89FHL26ywQj53sTTKuNVW+ZIcUksMiBUMiJKkhfXSS/D5z+dpYSXbbgs33wyDBtWuX5J6plmz4LHHyoHx/vtz5d6WLLVUvrRGaZRx221zm1TJgFjBgChJWhi33w6HHtrwYu7HHw+/+EW+eL0kdbS5c+Hpp8tTUu+7D958s+VtFlsM6urKgXHHHRf90jTq/gyIFQyIkqS2SAkuvBDOPrtcTGLxxeGyy/JUU0mqlZTghRcaVkodP77lbSJgs83K5zAOG5anyat3MSBWMCBKkqr1/vtw9NH5khUlgwblKaXbbluzbklSs157rWFgfPbZ1rfZYIOGlVK9RE/PZ0CsYECUJFVj7Nh8vmHlm6thw3IxGj9tl9RdvP12PnexFBoffxzmzWt5mzXXbFgpdcMNrc7c0xgQKxgQJUmtGTECjjgC3nuv3Pa1r8HFF1sdUFL39t57uTpqaYTx0UdzMZyWDBxYno668855imrfvp3TX3UMA2IFA6IkqTnz5sH558MFF5TbllwSrrgiB0ZJ6mlmzMghsRQYH3wQPvyw5W2WWw522KE8ylhXZ7Gu7saAWMGAKElqyrRpOQTedlu5bfDgfP7hllvWrl+S1JnmzMnTUEuVUkeNgqlTW95mySXzedmlKanbbw/LLNM5/dXCMSBWMCBKkhobMyafb/jCC+W23XeHG26AAQNq1y9JqrV58+CZZxoWvpk0qeVt+vaFrbYqB8addoKVVuqc/qo6BsQKBkRJUqWbbsqVSiunVH3rW/CjH0G/fjXrliR1SSnByy+Xw+KoUTBuXOvbbbpp+RzGYcNg9dU7vq9qngGxggFRkgT5gtNnnw0/+Um5baml4Jpr4KCDatcvSepuJk0qT0e97z546qnWt1lnnYaVUj/+cSuldiYDYgUDoiRpyhQ49FC4445y2zrrwK23wiab1K5fktQTTJ0KDzxQHmV87LH8oVxLVl+9HBZ33hk23hj69Omc/vZGBsQKBkRJ6t2eeCKfbzh+fLltv/3g//4PVlyxZt2SpB7rgw/g4YfLgfGRR3L11JastFI+d7E0yrjFFk77b08GxAoGREnqvf7wBzjuOPjoo3LbOefAeef5SbUkdZaZM6G+vnwO4/33w/vvt7zN0kuXL60xbBhssw307985/e2JDIgVDIiS1PvMnp0Lz1x6ablt2WXh97+Hz32udv2SJOXpp//9b/kcxlGj4O23W95m8cVzSCxNSd1hh3x9RlXHgFjBgChJvctbb+WiM/feW27bcEP4y1/yV0lS15ISjB1bnpJ6333w2mstb9OnD2y+eXlK6k47wcCBndPf7siAWMGAKEm9x6OPwgEHwIQJ5bbPfQ5+9zs/aZak7uSVV8qji/fdlwNkazbaqGHhmzXX7Ph+dhcGxAoGREnqHa66Ck46CWbNyvcj4Pvfh7PO8nxDSeru3nwzn7tYGmH873/zyGNLhgxpGBjXW6/3XlrDgFjBgChJPdusWXDqqfDrX5fbVlgBrr8e9t23dv2SJHWcadPgwQfLo4yjR+fzz1uy6qrlsLjzzvkyR337dk5/a63LB8SI2Ae4FOgLXJlSurDR8p2BnwOfAA5JKd1UsWwuULoc56sppc+2dCwDoiT1XJMmwfDh8NBD5bZNN83nG66zTu36JUnqXNOn58tplKakPvRQbmvJ8suXL60xbBhstVUuhtMTdemAGBF9geeBPYEJwGjg0JTSMxXrDAGWA74JjGgUED9IKS1TbYcMiJLUMz3wQA6Hb7xRbjvkELjyylweXZLUe82eDf/5T3lK6v3351HHlvTvD9tvXx5l3G47WGqpzulvR6tlQKzmcpbbAONSSi8BRMQNwP7A/ICYUhpfLJvXAX2UJHVjKcHll+dppXPm5LY+feCii+D003vv+SWSpLLFFoNtt823b30L5s2Dp59uWPim8gNGyNfMvfvufAPo1w/q6spTUnfcMZ/CoLapJiAOAioL104Atm3DMZaMiHpgDnBhSunWNmwrSerGZsyAE0+Ea68tt628Mtx4I+y+e826JUnq4vr0gU98It9OOSV/2DhuXDks3ncfvPxyw23mzIGHH863iy7KH0B+4hPlKanDhsHHPlabx9OdVBMQF9XglNLEiPg4cHdEPJVSerFyhYg4HjgeYK211uqELkmSOtqrr+ZLWFSeNbDllnDLLTB4cO36JUnqfiJyVdP11oNjjsltEyY0DIzPPNNwm5Ry9dT//hf+939z2/rrNyx8M3iwM1kaqyYgTgQqr0qyRtFWlZTSxOLrSxExEtgCeLHROlcAV0A+B7HafUuSuqZ77oGDDoLJk8ttRx6ZK5f271+7fkmSeo411oBDD803yP9zSpfWGDUqn9M4r9EJcM8/n29XXVXeRyks7rwzbLihgbGaIjX9yEVqdicHw9HAYSmlMU2sey1wW6lITUSsCExPKc2MiAHAQ8D+lQVuGrNIjSR1XynBJZfAGWfA3Lm5rV+/3Hbyyf7TlSR1nvffz5fWKI0yPvJI+dq7zRkwoDzCOGwYbLZZ/j/W2bp0FVOAiNiPfBmLvsDVKaUfRsQFQH1KaUREbA38BVgRmAG8kVIaGhE7AL8B5gF9gJ+nlK5q6VgGREnqnqZPh2OPhT/+sdy26qrw5z/nf7KSJNXSjBn5+oulKakPPggffNDyNssum4vdlELj1lvDEkt0fF+7fEDsTAZESep+XnoJPv95ePLJctt228FNN8GgQbXrlyRJzZkzB554ojwlddQomDKl5W2WWCJXWi1NSd1+e1im6gv6Vc+AWMGAKEndy+235/M/3nmn3HbCCXDppZ3zKaskSe1h3jx49tmGhW8mtlJ5pW/fXICtNCV1p51yte5FZUCsYECUpO4hJbjwQjj77Pw9wOKLw2WX5ammkiR1ZynB+PHlsDhqFLzwQuvbbbJJw/MYF2YmjQGxggFRkrq+99+Ho4/Ol6woGTQIbr45T72RJKknev318nTU++6Dp54qf0janI9/vDwlddgwWGed1ou2GRArGBAlqWsbOzafb/jss+W2YcNyMZpVV61dvyRJ6mzvvAMPPFAeZXzssXxuY0tWW61hYBw6FPr0abiOAbGCAVGSuq4RI+CII+C998ptX/saXHwxLLZY7folSVJX8OGH8PDD5cD48MO5empLVlwxB8XStNQttoDFFzcgzmdAlKSuZ948OP98uOCCctuSS8IVV+TAKEmSFjRzZh5VLJ3DeP/9DT9kbcrSS8OHHxoQ5zMgSlLXMm1aDoG33VZuGzw4n3+45Za165ckSd3N3Ln5klCVlVLffrupNWsXEPvV4qCSpO5hzJh8vmFl1bY99oA//hEGDKhdvyRJ6o769s1TSLfYIp+ikRI8/3zDSqmvvFLbPhoQJUlNuummXKn0ww/LbWecAT/8IfTzv4ckSYssAjbYIN+OOy63vfIKDBlSuz75L16S1MDcufnahj/5SbltqaXgmmvgoINq1y9JknqDwYNre3wDoiRpvilT4NBD4Y47ym3rrAO33pov/CtJknq2Pq2vIknqDZ54AurqGobD/faD0aMNh5Ik9RYGREkSf/gD7LADjB9fbjvnHPjb3/L1mSRJUu/gFFNJ6sVmz4ZvfQsuvbTctuyycN11sP/+teuXJEmqDQOiJPVSb72Vi87ce2+5bcMN4S9/yV8lSVLv4xRTSeqFHn0UttqqYTj8/OfhkUcMh5Ik9WYGREnqZa66CoYNgwkT8v2IfG3Dm26C5Zarbd8kSVJtOcVUknqJWbPg1FPh178ut62wAlx/Pey7b+36JUmSug4DoiT1ApMmwfDh8NBD5bZNN83nG66zTu36JUmSuhanmEpSD/fAA/l8w8pweMgh+b7hUJIkVTIgSlIPlRL86lewyy7wxhu5rU8fuPjiPK106aVr2j1JktQFOcVUknqgGTPgxBPh2mvLbQMGwI03wm671axbkiSpizMgSlIP8+qrcMABUF9fbttyS7jlFhg8uHb9kiRJXZ9TTCWpB7nnnny+YWU4POoouP9+w6EkSWqdAVGSeoCU4Gc/gz33hMmTc1u/fvDLX8I110D//rXtnyRJ6h6cYipJ3dyHH8Jxx8Ef/1huW3VV+POfYdiw2vVLkiR1PwZESerG7r4bjj0WXn653LbddnDTTTBoUO36JUmSuienmEpSN/Tuu3D88bD77g3D4QknwMiRhkNJkrRwHEGUpG7mttvgK1+BiRPLbSusAJdeCkceWbt+SZKk7s8RREnqJiZPhsMPh898pmE4/Pzn4ZlnDIeSJGnROYIoSV1cSrngzCmnwNtvl9sHDoTLLoPhwyGidv2TJEk9hyOIktSFvf46fOELcPDBDcPhF7+YRw0PPNBwKEmS2o8jiJLUBaUEv/sdfP3rMG1auX3QIPjNb+BTn6pd3yRJUs/lCKIkdTGvvgr77gtf+lLDcHj88TBmjOFQkiR1HEcQJamLmDcPfv1r+Pa34YMPyu1rrw1XXgm77Va7vkmSpN7BEURJ6gJeeAF23RVOPrkcDiPgtNPgqacMh5IkqXM4gihJNTRnDvz853DOOTBjRrl9ww3h6qth++1r1zdJktT7GBAlqUaefhqOOQZGjy639e2bp5iecw4suWTt+iZJknonA6IkdbJZs+DCC+EHP4DZs8vtm2+eRw232KJ2fZMkSb2bAVGSOlF9fR41fOqpctvii8P3vgdnnAGLLVa7vkmSJBkQJakTfPQRnHceXHxxrlZast12cNVVsPHGNeuaJEnSfFVVMY2IfSJibESMi4gzm1i+c0T8JyLmRMTwRsuOiogXittR7dVxSeou7r8/Tx+96KJyOOzfHy65JC8zHEqSpK6i1RHEiOgLXAbsCUwARkfEiJTSMxWrvQocDXyz0bYrAecCdUACHiu2fad9ui9JXdcHH8BZZ8Fll0FK5fZdd4Xf/hbWWad2fZMkSWpKNSOI2wDjUkovpZRmATcA+1eukFIan1J6EpjXaNu9gTtSSlOLUHgHsE879FuSurQ77oBNN4Vf/rIcDpddFn7zG7jzTsOhJEnqmqoJiIOA1yruTyjaqrEo20pStzNtGnz5y7DXXjB+fLl9v/1gzBg4/njoU9XkfkmSpM7XJd6mRMTxEVEfEfVvv/12rbsjSQvlr3/N5xNefXW5baWV4Lrr4LbbYM01a9c3SZKkalQTECcClW9r1ijaqlHVtimlK1JKdSmluoEDB1a5a0nqGt5+Gw49FD73OXj99XL7gQfCM8/A4YdDRO36J0mSVK1qAuJoYL2IWDsiFgcOAUZUuf/bgb0iYsWIWBHYq2iTpG4vJbjhhjxqeMMN5fZVV4Wbb4Y//Sl/L0mS1F20GhBTSnOAU8jB7lngTymlMRFxQUR8FiAito6ICcCBwG8iYkyx7VTg++SQORq4oGiTpG5t0qQ8YnjooTB5crn9yCPzqOEXvlC7vkmSJC2sSJW117uAurq6VF9fX+tuSFKTUsrnGH7jG/Duu+X2NdfMFUr33bd2fZMkST1DRDyWUqqrxbG7RJEaSeoOXn45Vyc99tiG4fDEE+Hppw2HkiSp++tX6w5IUlc3b16+2P1ZZ8GHH5bb110XrrwSPvnJ2vVNkiSpPRkQJakFY8fm6xo+8EC5rU8f+PrX4YILYKmlatc3SZKk9mZAlKQmzJkDP/0pnHsuzJxZbh86NJ+DuM02teubJElSRzEgSlIjTz4JxxwDjz1WbuvXL08xPftsWGKJ2vVNkiSpIxkQJakwcyb88Ifw4x/nEcSSLbfMo4abbVa7vkmSJHUGA6IkAY8+mkcNx4wpty2xBJx/fr6kRT//WkqSpF7AtzySerXp0+F734NLLsnVSkt23BGuugo22KB2fZMkSepsBkRJvda99+ZrGo4bV25beuk8xfTkk3O1UkmSpN7EgCip13n/ffj2t+Hyyxu27747/Pa3sPbatemXJElSrRkQJfUq//oXHH88vPZauW355fMlLY45BiJq1zdJkqRacwKVpF5h6lQ4+mjYd9+G4fAzn8mFab78ZcOhJEmSI4iSerxbboGTToI33yy3DRgAv/gFHHKIwVCSJKnEEURJPdabb8JBB8EBBzQMh4ccAs88A4ceajiUJEmq5AiipB4nJfjDH+DUU/PU0pLVVoNf/xo++9na9U2SJKkrcwRRUo8yYUI+r/CIIxqGw2OOyaOGhkNJkqTmOYIoqUdIKV+i4lvfgvfeK7cPHgxXXAF77VW7vkmSJHUXjiBK6vZefDFfw/CEExqGw1NOgaefNhxKkiRVyxFESd3W3Lnwv/8L3/kOfPRRuX399eGqq2CnnWrXN0mSpO7IgCipW3r22XztwoceKrf16ZOnmJ57LvTvX7u+SZIkdVcGREndyuzZ8D//A+efD7Nmlds33RSuvhrq6mrXN0mSpO7OgCip23j88VyN9Iknym2LLQbf/S6ceSYsvnjt+iZJktQTGBAldXkzZsD3vw8/+Uk+77Bk663zqOEmm9Sub5IkST2JAVFSl/bQQ3nU8Lnnym1LLpkD42mnQT//ikmSJLUb31pJ6pI+/DBPHb300nyNw5Jhw3KF0vXWq13fJEmSeioDoqQu55574Nhj4aWXym3LLJOnmH7lK7laqSRJktqfAVFSl/Huu3DGGXDFFQ3b994bfvMbGDy4Nv2SJEnqLQyIkrqEv/8dTjgBJk4st62wAlxyCRx1FETUrm+SJEm9hRO1JNXUlClw+OHw6U83DIef/zw88wwcfbThUJIkqbM4giipZm66CU4+Gd56q9w2cCBcdhkMH24wlCRJ6myOIErqdJMn5wB44IENw+EXv5hHDQ880HAoSZJUC44gSupUd9yRzyl8/fVy26BBuQjNpz5Vu35JkiTJEURJnWTmTPjmN2GvvRqGw+OOgzFjDIeSJEldgSOIkjrcc8/BoYfCE0+U21ZZBa65Bvbbr3b9kiRJUkOOIErqMCnlqaNbbtkwHO67Lzz5pOFQkiSpqzEgSuoQkyfnS1V85Svw0Ue5bYkl4Be/yNc8XHXV2vZPkiRJC3KKqaR2d+edcOSRDc813GQTuP562HTT2vVLkiRJLXMEUVK7KRWi2XPPhuHwq1+FRx81HEqSJHV1jiBKahfPPQeHHQaPP15usxCNJElS9+IIoqRFUlmIpjIcWohGkiSp+zEgSlpozRWiufRSC9FIkiR1R04xlbRQmipEM3Qo/PGPnmsoSZLUXVU1ghgR+0TE2IgYFxFnNrF8iYi4sVj+SEQMKdqHRMRHEfFEcft1+3ZfUmdrrhDNKafA6NGGQ0mSpO6s1RHEiOgLXAbsCUwARkfEiJTSMxWrfRl4J6W0bkQcAvwEOLhY9mJKafN27rekGrAQjSRJUs9WzQjiNsC4lNJLKaVZwA3A/o3W2R/4XfH9TcDuERHt101JtWQhGkmSpN6hmoA4CHit4v6Eoq3JdVJKc4B3gZWLZWtHxOMRcW9EDFvE/krqZBaikSRJ6j06ukjN68BaKaUpEbEVcGtEDE0pvVe5UkQcDxwPsNZaa3VwlyRVy0I0kiRJvUs1I4gTgTUr7q9RtDW5TkT0A5YHpqSUZqaUpgCklB4DXgTWb3yAlNIVKaW6lFLdwIED2/4oJLWrWbPgW9+yEI0kSVJvU80I4mhgvYhYmxwEDwEOa7TOCOAo4CFgOHB3SilFxEBgakppbkR8HFgPeKndei+p3TVViGbgwFyI5lOfql2/JEmS1PFaDYgppTkRcQpwO9AXuDqlNCYiLgDqU0ojgKuA6yJiHDCVHCIBdgYuiIjZwDzgKymlqR3xQCQtmpTgiivg618vn2sIsM8+ORx+7GO165skSZI6R6SUat2HBurq6lJ9fX2tuyH1KlOmwLHHwq23ltuWWAIuuihPK+1T1RVTJUmS1B4i4rGUUl0tjt3RRWokdXF33glHHQWTJpXbLEQjSZLUOzkuIPVSlYVoKsOhhWgkSZJ6L0cQpV7IQjSSJElqiiOIUi9SKkSz5ZYNw+E++8CTTxoOJUmSejsDotRLTJkCX/gCnHBCuUrp4ovDz38Of/+7VUolSZLkFFOpV7jrLjjyyIbnGm68cS5E84lP1K5fkiRJ6locQZR6sFmz4Iwzmi5EU19vOJQkSVJDjiBKPdRzz8EXvwj/+U+5zUI0kiRJaokjiFIPU1mIpjIcWohGkiRJrTEgSj3IlClwwAELFqK55BIL0UiSJKl1TjGVeggL0UiSJGlROYIodXPNFaI5+WQL0UiSJKltHEGUurGxY+GwwxqeazhgQC5E8+lP165fkiRJ6p4cQZS6oZTgt79dsBDN3nvDU08ZDiVJkrRwDIhSN1MqRHP88TB9em4rFaL5xz8sRCNJkqSF5xRTqRtprhDN9dfDZpvVrl+SJEnqGRxBlLqB5grRnHRSLkRjOJQkSVJ7cARR6uIsRCNJkqTO4gii1EVZiEaSJEmdzYAodUEWopEkSVItOMVU6mLuvjsXopk4sdxmIRpJkiR1BkcQpS6iVIhmjz0ahsOTToLRow2HkiRJ6niOIEpdwNix8MUvwmOPldsGDICrr4bPfKZ2/ZIkSVLv4giiVEOVhWgqw+Fee8GTTxoOJUmS1LkMiFKNtFSI5p//hNVWq23/JEmS1Ps4xVSqAQvRSJIkqStyBFHqRLNmwbe/bSEaSZIkdU2OIEqdpLlCNFddBZ/9bO36JUmSJJU4gih1sJTgyiubL0RjOJQkSVJXYUCUOtDUqTB8OBx3XMNCND/7mYVoJEmS1PU4xVTqIE0Votloo1yIZvPNa9cvSZIkqTmOIErtrLlCNCeeCPX1hkNJkiR1XY4gSu3o+efhsMMsRCNJkqTuyRFEqR2UCtFssUXDcLjnnhaikSRJUvdhQJQWUXOFaH76U/jXvyxEI0mSpO7DKabSIrjnHjjiCAvRSJIkqWdwBFFaCLNmwZlnwu67W4hGkiRJPYcjiFIbNVWIZuWV4eqrPddQkiRJ3ZsjiFKVWipE89RThkNJkiR1fwZEqQpTp8KBB1qIRpIkST2bU0ylKjz6KNx8c/n+hhvCH//ouYaSJEnqWaoaQYyIfSJibESMi4gzm1i+RETcWCx/JCKGVCw7q2gfGxF7t1/Xpc6zzz5wyin5+698JU8xNRxKkiSpp2l1BDEi+gKXAXsCE4DRETEipfRMxWpfBt5JKa0bEYcAPwEOjoiNgUOAocDqwJ0RsX5KaW57PxCpo110EXz607C3H3NIkiSph6pmBHEbYFxK6aWU0izgBmD/RuvsD/yu+P4mYPeIiKL9hpTSzJTSy8C4Yn9St9O/v+FQkiRJPVs1AXEQ8FrF/QlFW5PrpJTmAO8CK1e5rSRJkiSpC+gSVUwj4viIqI+I+rfffrvW3ZEkSZKkXqmagDgRWLPi/hpFW5PrREQ/YHlgSpXbklK6IqVUl1KqGzhwYPW9lyRJkiS1m2oC4mhgvYhYOyIWJxedGdFonRHAUcX3w4G7U0qpaD+kqHK6NrAe8Gj7dF2SJEmS1J5arWKaUpoTEacAtwN9gatTSmMi4gKgPqU0ArgKuC4ixgFTySGSYr0/AZvw3nsAAAQpSURBVM8Ac4CTrWAqSZIkSV1T5IG+rqOuri7V19fXuhuSJEmSVBMR8VhKqa4Wx+4SRWok/X979xJyVRWGcfz/oEVp0QVDSgUdiCFBGBFWEJENjCIbRUEh0bCLRRDWpGmDiBpEIGYJiREmJBFdsKCZVBrkpUi66GeaRnTBiUlvg7OVL9FsdNaK7/+bnL3XZD2Dl3POu89a60iSJEnt2SBKkiRJkgAbREmSJEnSoLs9iEmOAEeBn1tnkc5gFtan+mRtqlfWpnplbapXi6rqwhYTn/UU03GrqsuSfNZqU6Z0NtanemVtqlfWpnplbapXSZqd2ukSU0mSJEkSYIMoSZIkSRr02iCuaR1A+hfWp3plbapX1qZ6ZW2qV81qs7tDaiRJkiRJbfT6C6IkSZIkacy6axCTLE/ydZK9SVa3ziMBJJmX5OMku5PsSrKqdSZpsiTTkuxI8k7rLNJkSS5OsinJV0n2JLm+dSYJIMnjw2f6ziQbk5zXOpOmpiTrkhxOsnPS2KVJPkzyzfB6ybjydNUgJpkGvATcBiwG7k2yuG0qCYDjwBNVtRhYCjxkbaozq4A9rUNIp/Ei8F5VXQlcjXWqDiSZAzwKXFtVVwHTgHvaptIU9hqw/JSx1cDWqloIbB3ux6KrBhG4DthbVd9W1THgDWBF40wSVXWwqrYP138w+oIzp20qaSTJXOB2YG3rLNJkSS4CbgJeAaiqY1X1a9tU0knTgfOTTAdmAD82zqMpqqo+AX45ZXgFsH64Xg/cNa48vTWIc4D9k+4n8Eu4OpNkPrAE2NY2iXTSC8CTwF+tg0inWAAcAV4dlkCvTTKzdSipqg4AzwH7gIPAb1X1QdtU0j/MrqqDw/UhYPa4Ju6tQZS6luQC4C3gsar6vXUeKckdwOGq+rx1Fuk0pgPXAC9X1RLgKGNcJiWdybCfawWjhxhXADOT3Nc2lXR6NfrbibH99URvDeIBYN6k+7nDmNRcknMYNYcbqmpz6zzS4EbgziTfM1qWf0uS19tGkk6aACaq6sSKi02MGkaptVuB76rqSFX9CWwGbmicSZrspySXAwyvh8c1cW8N4qfAwiQLkpzLaLPwlsaZJJKE0R6aPVX1fOs80glV9VRVza2q+YzeMz+qKp+CqwtVdQjYn2TRMLQM2N0wknTCPmBpkhnDZ/wyPEBJfdkCrByuVwJvj2vi6eOa6L+oquNJHgbeZ3Sa1Lqq2tU4lgSjX2nuB75M8sUw9nRVvdswkyT9HzwCbBge/H4LPNA4j0RVbUuyCdjO6KTyHcCatqk0VSXZCNwMzEoyATwDPAu8meRB4Afg7rHlGS1plSRJkiRNdb0tMZUkSZIkNWKDKEmSJEkCbBAlSZIkSQMbREmSJEkSYIMoSZIkSRrYIEqSJEmSABtESZIkSdLABlGSJEmSBMDf2lgjvvb+brUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "IBS: 0.11\n"
     ]
    }
   ],
   "source": [
    "from pysurvival.utils.display import integrated_brier_score\n",
    "ibs = integrated_brier_score(rsf, X_test, T_test, E_test, t_max=12, figure_size=(15,5))\n",
    "print('IBS: {:.2f}'.format(ibs))#0.11"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The IBS is equal to 0.11 on the entire model time axis. This indicates that the model will have good predictive abilities."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6 - Predictions\n",
    "### 6.1 - Overall predictions\n",
    "Now that we have built a model that seems to provide great performances, let's compare the time series of the actual and predicted number of employees who left the company, for each time t."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pysurvival.utils.display import compare_to_actual\n",
    "results = compare_to_actual(rsf, X_test, T_test, E_test,\n",
    "                            is_at_risk = False,  figure_size=(16, 6), \n",
    "                            metrics = ['rmse', 'mean', 'median'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.2 - Individual predictions\n",
    "Now that we know that we can provide reliable predictions for an entire cohort, let's compute the probability of remaining a customer for all times t.\n",
    "\n",
    "First, we can construct the risk groups based on risk scores distribution. The helper function `create_risk_groups`, which can be found in `pysurvival.utils.display`, will help us do that:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pysurvival.utils.display import create_risk_groups\n",
    "risk_groups = create_risk_groups(model=rsf, X=X_test,\n",
    "    use_log = False, num_bins=30, figure_size=(20, 4),\n",
    "    low= {'lower_bound':0, 'upper_bound':3.4, 'color':'red'},\n",
    "    high= {'lower_bound':3.4, 'upper_bound':10, 'color':'blue'}\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, it is possible to distinguish 2 main groups: **low** and **high** risk groups. Because the C-index is high, the model will be able to rank the survival times of a random unit of each group, such that $t_{high} \\leq  t_{low}$.\n",
    "\n",
    "Let's randomly select individual unit in each group and compare their likelihood to remain a customer. To demonstrate our point, we will purposely select units which experienced an event to visualize the actual time of event."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Initializing the figure\n",
    "fig, ax = plt.subplots(figsize=(15, 5))\n",
    "\n",
    "# Selecting a random individual that experienced an event from each group\n",
    "groups = []\n",
    "for i, (label, (color, indexes)) in enumerate(risk_groups.items()) :\n",
    "\n",
    "    # Selecting the individuals that belong to this group\n",
    "    if len(indexes) == 0 :\n",
    "        continue\n",
    "    X = X_test.values[indexes, :]\n",
    "    T = T_test.values[indexes]\n",
    "    E = E_test.values[indexes]\n",
    "\n",
    "    # Randomly extracting an individual that experienced an event\n",
    "    choices = np.argwhere((E==1.)).flatten()\n",
    "    if len(choices) == 0 :\n",
    "        continue\n",
    "    k = np.random.choice( choices, 1)[0]\n",
    "\n",
    "    # Saving the time of event\n",
    "    t = T[k]\n",
    "\n",
    "    # Computing the Survival function for all times t\n",
    "    survival = rsf.predict_survival(X[k, :]).flatten()\n",
    "\n",
    "    # Displaying the functions\n",
    "    label_ = '{} risk'.format(label)\n",
    "    plt.plot(rsf.times, survival, color = color, label=label_, lw=2)\n",
    "    groups.append(label)\n",
    "\n",
    "    # Actual time\n",
    "    plt.axvline(x=t, color=color, ls ='--')\n",
    "    ax.annotate('T={:.1f}'.format(t), xy=(t, 0.5*(1.+0.2*i)), \n",
    "        xytext=(t, 0.5*(1.+0.2*i)), fontsize=12)\n",
    "\n",
    "# Show everything\n",
    "groups_str = ', '.join(groups)\n",
    "title = \"Comparing Survival functions between {} risk grades\".format(groups_str)\n",
    "plt.legend(fontsize=12)\n",
    "plt.title(title, fontsize=15)\n",
    "plt.ylim(0, 1.05)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7 - Conclusion\n",
    "In conclusion, we can see that it is possible to predict the number of employees that will leave the company at different time points. Moreover, thanks to the feature importance of the RSF model, we can understand the reasons behind an employee decision to leave:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>feature</th>\n",
       "      <th>importance</th>\n",
       "      <th>pct_importance</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>work_accident</td>\n",
       "      <td>4.274116</td>\n",
       "      <td>0.235809</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>number_projects</td>\n",
       "      <td>2.433926</td>\n",
       "      <td>0.134283</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>satisfaction_level</td>\n",
       "      <td>2.085549</td>\n",
       "      <td>0.115063</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>department_support</td>\n",
       "      <td>2.016703</td>\n",
       "      <td>0.111264</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>promotion_last_5years</td>\n",
       "      <td>1.702162</td>\n",
       "      <td>0.093911</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 feature  importance  pct_importance\n",
       "0          work_accident    4.274116        0.235809\n",
       "1        number_projects    2.433926        0.134283\n",
       "2     satisfaction_level    2.085549        0.115063\n",
       "3     department_support    2.016703        0.111264\n",
       "4  promotion_last_5years    1.702162        0.093911"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Computing variables importance\n",
    "rsf.variable_importance_table.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving the model to disk as /Users/xxx/Desktop/employee_rsf.zip\n"
     ]
    }
   ],
   "source": [
    "# Let's now save our model\n",
    "from pysurvival.utils import save_model\n",
    "save_model(rsf, '/Users/xxx/Desktop/employee_rsf.zip')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## References\n",
    "\n",
    "* [2017 report by Employee Benefit News (EBN)](https://www.benefitnews.com/news/avoidable-turnover-costing-employers-big)\n",
    "* [HR Dive - Study: Turnover costs employers $15,000 per worker](https://www.hrdive.com/news/study-turnover-costs-employers-15000-per-worker/449142/)\n",
    "* [Employee Attrition dataset](https://github.com/ludovicbenistant/Management-Analytics/blob/master/HR/HR.csv)\n",
    "* [Kaggle Competition - Employee Churn Prediction](https://www.kaggle.com/c/employee-churn-prediction)"
   ]
  }
 ],
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